Question

Select the correct answer from the blanks

Integers can be divided provided that the blank is not zero. Given this, every quotient of integers is a blank number. If p and q are integers, then -(p/q) =

Answer 1

Integers can be divided provided that the **divisor** is not zero. Given this, every quotient of integers is a **rational** number. If p and q are integers, then -(p/q) = **-p/q**.

Answer 2

theres no answer for -(p/q) = **-p/q**.

Answer 3

Apologies for any confusion in my previous answer. The expression \(-\frac{p}{q}\) is simply equal to \(-\frac{p}{q}\); it's already in its simplified form.

To clarify:

If \(p\) and \(q\) are integers, then:

\[
-\left(\frac{p}{q}\right) = -\frac{p}{q}
\]

If you're looking for a way to express this mathematically, we could say that it equals \(-p/q\) in fraction form, but there are no further simplifications.

Please let me know if you need further clarification or assistance!

Answer 4

the only answers are
A. (-p)/q = q/(-p)
B. (-p)/(-q) = (-q)/(-p)
C. (-p)/q = p/(-q)
D. (-p)/q = (-p)/(-q)

Answer 5

Given the expression \(-\frac{p}{q}\), we can use the provided options to find an equivalent form.

Let's examine the options:

A. \(\frac{-p}{q} = \frac{q}{-p}\)
B. \(\frac{-p}{-q} = \frac{-q}{-p}\)
C. \(\frac{-p}{q} = \frac{p}{-q}\)
D. \(\frac{-p}{q} = \frac{-p}{-q}\)

To find the correct answer, we analyze the relationships:

- **A**: This is incorrect because \(\frac{-p}{q}\) does not equal \(\frac{q}{-p}\).

- **B**: This is correct, as both sides simplify to \(\frac{p}{q}\) since the negatives cancel out.

- **C**: This is correct because \(\frac{-p}{q} = \frac{p}{-q}\) is valid, as multiplying by -1 changes the sign of the numerator.

- **D**: This is incorrect because \(\frac{-p}{q}\) and \(\frac{-p}{-q}\) are not equal; the second becomes \(\frac{p}{q}\) since the two negatives cancel.

Thus, options **B** and **C** are correct.

If you need a specific form equivalent to \(-\frac{p}{q}\), both **{B}, and C** would work, but typically in standard simplifications, **C** is the straightforward transformation directly yielding \(-\frac{p}{q}\). Please let me know if there's anything else you'd like to clarify!